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Simplifying (5c + 4p)(5c + -4p) = 0 Multiply (5c + 4p) * (5c + -4p) (5c * (5c + -4p) + 4p * (5c + -4p)) = 0 ((5c * 5c + -4p * 5c) + 4p * (5c + -4p)) = 0 Reorder the terms: ((-20cp + 25c2) + 4p * (5c + -4p)) = 0 ((-20cp + 25c2) + 4p * (5c + -4p)) = 0 (-20cp + 25c2 + (5c * 4p + -4p * 4p)) = 0 (-20cp + 25c2 + (20cp + -16p2)) = 0 Reorder the terms: (-20cp + 20cp + 25c2 + -16p2) = 0 Combine like terms: -20cp + 20cp = 0 (0 + 25c2 + -16p2) = 0 (25c2 + -16p2) = 0 Solving 25c2 + -16p2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16p2' to each side of the equation. 25c2 + -16p2 + 16p2 = 0 + 16p2 Combine like terms: -16p2 + 16p2 = 0 25c2 + 0 = 0 + 16p2 25c2 = 0 + 16p2 Remove the zero: 25c2 = 16p2 Divide each side by '25'. c2 = 0.64p2 Simplifying c2 = 0.64p2 Take the square root of each side: c = {-0.8p, 0.8p}
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